Q: What are the prime factors of the number 133,011,010?

 A: 2, 5, 11, 1209191

Why are those the prime factors of the number 133,011,010?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 133,011,010

133,011,010
Factor Arrows
266,505,505
Factor Arrows
513,301,101
Factor Arrows
111,209,191

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 11, 1209191

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 1,209,191 = 133,011,010

This can also be written as 21 x 51 x 111 x 1,209,1911 = 133,011,010

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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